So, I tested out public version 0.4.0 and game performs much better now on mobile, but still does slows down and lead to crashes sometimes. Tested in Google browser and Mi browser (phone model is Redmi Note 11). By my experience, here's the list from most lag-causing systems to least ones:
1. Navigation
2. Scanning
3. Refining
Other stuff doesn't really causes any troubles and Navigation causes the most with very big difference from Scanning. Holding both Navigation and Scanning already causes some good lags and freezes, but adding Refining on top already kills the game in Mi browser with image freezing still for more than 10-15 seconds. In Google browser I hadn't tested all three at once yet, but even with just Scanning and Navigation it did crashed once with error message something like "missed the context". Thank god, progress saves automatically. Though, I already noticed that you improved performance even more in 0.5.0, so some things I said here could alre be fixed.
Updt: error in Google browser says "WebGL context lost, please reload the page".