[Bug]: MetaMetricsController error shown when locking `MetaMask wallet: "profile_id" value is not a valid trait type`

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### Describe the bug

An error message from MetaMetricsController appears when locking the MetaMask wallet. The error states that the "profile_id" value is not a valid trait type. This occurs during the wallet lock action and may indicate an issue with metrics or profile trait handling.

### Expected behavior

Locking the wallet should complete without errors, and no MetaMetricsController warnings or errors should be logged.

### Screenshots/Recordings

https://github.com/user-attachments/assets/a34f8afc-6bca-43bd-a6e7-4e6f79344361

### Steps to reproduce

1. Open MetaMask and unlock the wallet.
2. Perform normal wallet activity (optional).
3. Lock the MetaMask wallet.
4. Observe the console/log output.

### Error messages or log output

```shell
MetaMask wallet: "profile_id" value is not a valid trait type
```

### Where was this bug found?

Live version (from official store)

### Version

13.19.0

### Build type

None

### Browser

Chrome

### Operating system

MacOS

### Hardware wallet

_No response_

### Additional context

_No response_

### Severity

_No response_

Start by tracing MetaMetricsController during the wallet lock action and reproduce the reported "profile_id" trait error on Chrome 13.19.0 on macOS. Identify where the profile trait is handled and verify that locking the wallet completes without MetaMetricsController warnings or errors.

Written by the indexing model from the issue text.