[Bug]: Performance - MV3 - When network is down, it takes several seconds to open the popup when a tx is triggered

### Describe the bug

When network is down, it takes several seconds to open the popup when a tx is triggered in MV3 builds.
This also causes test flakiness ([see](https://github.com/MetaMask/metamask-extension/issues/25674))

### Expected behavior

_No response_

### Screenshots/Recordings

https://github.com/MetaMask/metamask-extension/assets/54408225/52120359-db18-4e5d-8775-6998083f51be

### Steps to reproduce

1. Start ganache
2. Add ganache to MM
3. Go to the test dapp
4. Connect
5. Trigger a tx -- see the popup opens fast
6. Terminate ganache
7. Trigger more tx's -- see sometimes the popup takes ~5-10 seconds to open

### Error messages or log output

_No response_

### Version

11.16.x prod with MV3 (chrome)

### Build type

None

### Browser

Chrome

### Operating system

Linux

### Hardware wallet

_No response_

### Additional context

_No response_

### Severity

_No response_

Reproduce the delay with Ganache and the test dapp by comparing normal operation with Ganache stopped, using the MV3 Chrome build described in the issue. Trace the popup-opening path and related flaky test from issue 25674; done means transaction popups open promptly when the network is unavailable and the intermittent test failure is resolved.

Written by the indexing model from the issue text.