I would think that in future you could use patient assistance & transport with the airlines (here Southwest) to help you when these gate change incidents happen to avoid the unnecessary exhaustion & detriments to your health their inconvenience put you to. You shouldn’t have to walk, race/run &/or otherwise hustle around between gates, mask or no mask. You are entitled to that extra help so next time you book a ticket, request it in advance.
I also think with the airlines that have an independent health certification / exam (Delta is one) to qualify to forego mask usage, you could show up early to the airport, request the airline’s mask-free health screening & definitely qualify for it & potentially not have to wear the mask. You may get some flak from other passengers, but if you follow the airline rules, that should solve it. The airlines have the final say on mask issues.
FlyerTalk.com is definitely doing stories on airline mask policies, they can keep you up to date on their substance & the changes to them