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I have checked with internal team on this and sharing the below.
Unfortunately, at this moment we don't have any method/mechanism to check the quota for app service & App service engineering team has confirmed that they are working on this feature to check the quota which will be available in 2025 (Note this not exact ETA and it might change based on different factors).
Only workaround to go with trial & error method or suggested in error message try creating the support case.
Hope this Helps, let me know if you have any further questions on this.