[Feature] ProtonDB Badge

[ksavery]

What problem would this solve?

At a glance knowing if a game is supported, and how well it is likely to run.

What would you like Omakade to do?

A quick glance protondb "badge" for compatible games on both the main grid and details page so I can quickly know how well a game will likely run in my 1000+ game library. I'd think some right aligned text on the library integration / playtime row would be a good spot.

Launcher or platform details

No response

[btsouth]

This would be useful. The plan is a compact ProtonDB tier on game cards and details, with cached results and visible games loaded first so large libraries stay responsive. Unknown or offline results should stay neutral, and non-Steam shortcut IDs should be excluded.

The summary endpoint responds, but its supported use and attribution still need checking before shipping. I'll keep this open as a separate feature from the current bug fixes.