Hydrogen does not work in private mode

**Describe the bug**
On Firefox private windows (or in the Tor browser), Hydrogen does not work due to indexedDb usage.

**To Reproduce**
1. Open a private window in Firefox
2. Attempt to log into Hydrogen

**Expected behavior**
I should be able to use Hydrogen in Private Windows just like I can use Element in them.

**Screenshots**

**Desktop (please complete the following information):**
- OS: Any
- Browser Firefox
- Version 102

**Additional context**
On Firefox, indexedDb is not available while in private mode.

Start by reproducing the login failure in a Firefox private window or Tor browser, then trace the indexedDB usage reached during Hydrogen startup and login. Done means Hydrogen can be used and logged into in those private browsing environments without relying on unavailable indexedDB storage.

Written by the indexing model from the issue text.