Landry Rountree appeals the dismissal of his 42 U.S.C § 1983 and related state-law claims against the City of Beaumont and Beaumont Police Sergeant Troy Dyson. We affirm the judgment of dismissal.I.Rountree owns a towing business and, for thirty years, participated in Beaumont’s non-consent tow rotation. For an accident that disables a car, the responding police officer calls a company on the rotation list to clear the wreck. While Rountree was on the list, non-consent tows for the Beaumont Police Department made up roughly two-thirds of his annual income.In December 2013, Beaumont Police Chief James Singletary revoked Rountree’s city-issued towing permit. The revocation was ostensibly based on a complaint by a competing tow company, which asserted—truthfully—that three of Rountree’s state-issued licenses had lapsed. But Rountree alleges that Singletary, through one of his officers, persuaded the competitor to lodge the complaint. In response to the complaint, Singletary sent Rountree a suspension letter and revoked his permit for two years. Rountree unsuccessfully appealed the suspension to the City Council and Mayor.Although Rountree’s complaint is less than clear on the point, he conceded, in his briefing before the district court, that a city permit is not required for all towing in Beaumont. Rather, “a permit is only required for certain tow jobs where police require the tow.” In other words, the permit is part of the city’s process for choosing which vendors it hires to tow wrecked cars.In March 2014, one of Rountree’s customers called him to an accident. Because his permit remained suspended, Rountree could not tow the customer’s vehicle. Instead of towing the wreck himself, Rountree called a permitted tow truck to assist. While Rountree was on the scene, Dyson arrived and ordered Rountree to leave. When Rountree refused, Dyson arrested him for violating a city ordinance that forbids a tow driver from stopping within one thousand feet of an accident without a valid tow-truck permit. The charge was eventually dismissed.In January 2016, Rountree sued the city and Dyson in state court under § 1983 and related state law. The defendants removed. Following a round of motions to dismiss, the magistrate judge, acting as the district court by consent under 28 U.S.C. § 636(c), dismissed all of Rountree’s claims in a thorough opinion. This appeal followed.II.Rountree contends that the district court erred in dismissing his claims against the city. He describes the dismissal as “sua sponte” because, although the city moved to dismiss and Rountree responded on the merits, Rountree amended his complaint while the city’s motion was pending. That amendment, to Rountree, “nullified” the pending motion to dismiss. Therefore the court could not have done what it claimed to do—dismiss Rountree’s claims on motion by the city—and must have acted sua sponte.Rountree is mistaken. As explained in a treatise, and reiterated by several district courts in this circuit, “defendants should not be required to file a new motion to dismiss simply because an amended pleading was introduced while their motion was pending.”[1] Rather, “[i]f some of the defects raised in the original motion remain in the new pleading, the court simply may consider the motion as being addressed to the amended pleading.”[2] Accordingly, the court acted within its discretion when it considered the city’s motion before dismissing the amended complaint.Rountree’s second theory is that the court should not have dismissed Rountree’s class-of-one equal protection claim for suspension of his permit.[3] As noted, a city permit is not required for general, private tows; a permit is merely required to be on the city’s non-consent tow list. Class-of-one claims are inapposite “to a local government’s discretionary decision to include or not include a company on a non-consent tow list.” Integrity Collision Ctr. v. City of Fulshear, 837 F.3d 581, 586 (5th Cir. 2016) (quotation marks omitted).Though Integrity did not directly address the decision to revoke a tow driver’s non-consent towing permit (thereby removing him from the list), its reasoning extends here. “[A] class-of-one equal-protection claim is unavailable in a public employment context,” and “[t]hat conclusion logically applies as well to a local government’s discretionary decision to include or not include a company on a non-consent tow list.”[4] It “would be incompatible with the discretion inherent in the challenged action” to “allow[] equal protection claims on such grounds.”[5]Employment decisions “involve discretionary decisionmaking based on a vast array of subjective, individualized assessments,”[6] so “a city’s decision to purchase services from private companies for its non-consent tows” can include “factors that are not reasonably measurable, such as reputation, personal experience, and the particularities of how the city wishes to operate its non-consent tow program.”[7] And, it would be incompatible to allow an equal protection claim on the ground that one person received a discretionary punishment and another did not,[8] “even if for no discernable or articulable reason.” Engquist, 553 U.S. at 604 (employing a hypothetical about the issuance of speeding tickets).[9] It thus makes sense to extend Integrity here. If a city has the discretion to choose from whom it contracts private services, then it must equally retain the discretion to choose when to terminate such relationship.Alternatively, Rountree’s equal-protection claim fails because he did not sufficiently allege that he has been treated differently from others similarly situated.[10] His complaint generally alleges that other similarly situated individuals were treated differently, but he points to no specific person or persons and provides no specifics as to their violations.[11] Though we take factual allegations as true at the Federal Rule of Civil Procedure 12(b)(6) stage, “[t]hreadbare recitals of the elements of a cause of action, supported by mere conclusory statements, do not suffice.” Ashcroft v. Iqbal, 556 U.S. 662, 678 (2009). An allegation that others are treated differently, without more, is merely a legal conclusion that we are not required to credit.[12] Rountree’s equal protection claim fails.Finally, Rountree challenges the dismissal of his false-arrest claim against Dyson, who is “entitled to qualified immunity unless there was no actual probable cause for the arrest” and he was “objectively unreasonable in believing there was probable cause for the arrest.” Davidson v. City of Stafford, 848 F.3d 384, 391 (5th Cir. 2017). Crucially, “[t]his probable cause may be for any crime and is not limited to the crime that the officers subjectively considered at the time they perform an arrest.” Id. at 392.Dyson cites Beaumont City Ordinance Section 6.08.006(a)(1), which provides, “All tow truck operators shall . . . [o]bey all lawful orders given by any police officer and not in any manner interfere with any police officer in the performance of his/her duty.” Violating that is a misdemeanor. See Beaumont, Tex. Ord. § 6.08.007(a). Rountree admits in his complaint that Dyson ordered him “to move his tow truck and leave the scene,” but Rountree “declined to follow the sergeant’s direction to leave the scene.” In his briefing, Rountree does not discuss Section 6.08.006(a)(1) or make any argument that Dyson would have been objectively unreasonable in believing his order to be lawful. Accordingly, because Rountree did not obey Dyson’s apparently lawful order, Dyson was not objectively unreasonable in believing that he had probable cause to arrest. Rountree’s false-arrest claim fails.[13]The judgment of dismissal is AFFIRMED.