[Feature Request] Show active profile as badge on toolbar icon (chrome.action.setBadgeText)

[chirag127]

Summary

Show the active profile name (or short-code) as a badge on the toolbar icon via chrome.action.setBadgeText, so users can see which profile is active without opening the popup.

Motivation

Right now the active-profile indicator (#23, closed 2018) only appears inside the popup — the user has to click the icon to see which profile is on. When switching profiles frequently (work/home/dev/etc.), a persistent visual on the toolbar itself removes that step.

Proposed change

In js/engine.js (or wherever the active profile is committed to storage), after applying a profile call:

// Truncate to Chrome's ~4-char practical badge limit; use first 4 chars of profile name.
const label = (activeProfile?.name() || '').slice(0, 4);
chrome.action.setBadgeText({ text: label });
chrome.action.setBadgeBackgroundColor({ color: '#4a90e2' }); // or theme-derived
chrome.action.setTitle({ title: activeProfile?.name() ? `Extensity — ${activeProfile.name()}` : 'Extensity' });

Optionally an options toggle "Show profile badge on toolbar" so users who prefer a clean icon can turn it off.

Additive, not overlapping

• profile indicator #23 was about an in-popup marker (already shipped in v1.5.0). This is about the toolbar icon itself, visible without opening the popup.
• Independent of the keyboard-shortcut requests ([Feature request] Shortcut keys to switch between different profiles  #75, Enable shortcut functionality to turn extension on or off? #59, please consider including the hot keys to each profiles #28, [Feature Request] Arrow keys to choose extension and enter to toggle #47).
• Doesn't need new permissions — chrome.action is core to MV3, already used implicitly via the action manifest key.

Notes

• Badge width is ~4 characters practical on most themes. First-4 of profile name is a reasonable default; users could override per-profile in a future iteration.
• On Windows 11 the toolbar badge is HiDPI-crisp; verified with other extensions in the store.

Thanks for the great work on Extensity!