I use a film camera, which removes the possibility of infinite shots. It works for me! And since I must print the pictures, I make duplicates and share with friends and family.
You can give it a try: there are very easy cameras!
I was looking for a similar experience, where I take a picture only to immediately go back into the moment, without disrupting anything.
All those compact cameras were still too large for that purpose, because as the saying goes: "The best camera is the one you always have on you"
After some searching I found an AWESOME gem of a little camera: The DxO One, a camera from back in 2016 from DxO, a company actually specialized in benchmarking camera-quality.
The device was built to be sold at ~700 USD, but flopped and can still be purchased as old-stock for ~110 USD now.
Size is fantastic, Pictures are great, I can only recommend it if someone just wants to capture a moment like it is without people getting pulled out of it.
The device is also somewhat hackable [0], as it's based on the Ambarella platform (RTOS and Linux).
I started collecting infos about it to preserve it [1], there's still alot of potential in this little gem.
for someone who wants to try that without investing in film camera and film development, there are small handheld printers that can print directly from a phone (and I guess a computer). It doesn't remove the possibility of infinite shots but it allows to focus on the shot you really want to keep and print
Don't know what country you're in, but in general people has been picking up analog cameras again. Madrid probably has at least doubled or tripled the number of print shops in the last 5 years.
The real problem is the price of film has skyrocketed. Since factories has been closing in the last ten years, the offer is low, and the demand is high... Even low quality Chinese stock is going for prices higher than professional rolls where 5 or 6 years ago.
You can give it a try: there are very easy cameras!