OAuth login URL is not shown when running remote server with auth

Bug description

When running

thv run --remote-auth-skip-browser

I expect to see the log

Please open this URL in your browser:

However, the foreground process exits too quickly and it's not possible to see the log unless I open the .log file.
This makes it difficult to log in to remote servers when my shell doesn't have permissions to open a browser.

Steps to reproduce

thv run context7-remote --remote-auth-skip-browser

Expected behavior

I expect to see the login URL printed:

Please open this URL in your browser: https://context7.com/api/oauth/authorize?client_id=...

Or another mechanism that allows me to continue the OAuth flow.

Actual behavior

thv run return immediately. The log with the URL is only available when searching through the log file.

Additional context

This problem becomes more painful given the 30s timeout when connecting to remote servers.

Start at the thv run path handling --remote-auth-skip-browser and trace how the OAuth URL is logged for remote servers. Reproduce with thv run context7-remote --remote-auth-skip-browser; done means the foreground process presents a usable login URL or another way to continue the OAuth flow before the connection timeout.