[Bug] (builderlab): Password reset link fails/does not work during signup flow on login.builderlab.xyz

Here is the issue description reformatted according to your exact template:

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### Issue Description

**Describe the bug**
*When navigating through the account creation/signup flow at `[https://login.builderlab.xyz](https://login.builderlab.xyz)`, attempting to request or execute a password reset does not work as expected. The reset action either fails silently, triggers an error, or does not successfully process the request.*

**To Reproduce:**
*Steps to reproduce the behavior:*

1. Go to `[https://login.builderlab.xyz](https://login.builderlab.xyz)`
2. Initiate the signup or initial account setup flow
3. Click on the 'Forgot Password' or 'Reset Password' link during the flow
4. Enter account credentials / email and submit the request
5. See error / observe that the password reset fails to process or deliver the reset payload

**Expected behavior:**
*Users should be able to request a password reset email during or after sign-up, receive a valid reset link, and successfully update their password without encountering errors.*

**Supporting Material**
*N/A — Screenshots or browser console log outputs can be attached here.*

**Environment (please complete the following information):**

* OS: [e.g. macOS / Windows / iOS / Android]
* Version: [e.g. Chrome v122, Safari 17, Webview]

**Additional context**
Blocks onboarding for users who hit authentication edge cases or forget credentials midway through setting up their Builderlab hosted identity.

Start by reproducing the issue at https://login.builderlab.xyz through the signup flow, using the listed Forgot Password or Reset Password steps. Check whether the request, reset email, link, or password update fails; done means a user can request the email, receive a valid link, and successfully update the password.

Written by the indexing model from the issue text.