Installing as PWA opens the homepage and not /play or /podcasts

### Description

When I install the PWA version of the app, I expect it to open directly to the podcast library/new releases. Currently, it opens to a promotional homepage, which is less convenient for a longtime user who just wants to continue with their podcasts.

### Step-by-step reproduction instructions

1. Go to [www.pocketcasts.com/play](http://www.pocketcasts.com/play) or [www.pocketcasts.com/podcasts](http://www.pocketcasts.com/podcasts). (Make sure you are logged into your account.)
2. Click the three-dot menu icon (•••) on the browser.
3. Select the option "Add to Home Screen."
4. Look for the icon and open it.

### Screenshots or screen recording

_No response_

### Did you search for existing bug reports?

- [x] I have searched for existing bug reports.

### Device, Operating system, and Pocket Casts app version

Chrome mobile/Firefox.

Start by reproducing the install flow from /play or /podcasts in Chrome mobile or Firefox, then inspect how the installed PWA chooses its launch URL and routes to the promotional homepage. Done means installing from either podcast entry point opens the podcast library or new releases instead of the homepage, with the existing reproduction steps passing.

Written by the indexing model from the issue text.