Urgent: Need Fast Assistance for Account Recovery

You can try without turning off the other devices, but account recoils an automated process and per How to use account recovery when you can’t reset your Apple ID password - Apple Support

• you submitted your account recovery request with iforgot.apple.com through your device's browser, you should avoid using that device during this period. Using that device might cancel account recovery. 
• To avoid delays, turn off other devices that are signed in with your Apple ID until account recovery is complete. 

Are you not able to reset the password without recovery, instead using one of those other trusted devices? If you forgot your Apple ID password - Apple Support

If the account is that critical you may wish to set up safeguards should this happen again.

Set up an account recovery contact --> Set up an account recovery contact - Apple Support

- "An account recovery contact is someone who can verify your identity and help you regain access to your account and all of your data if you ever get locked out."

- You can select up to five recovery contacts for your account.

- Your contacts will need an iOS device with iOS 15 or iPadOS 15 or later, or Mac with macOS Monterey or later

- If you forget your Apple ID password or get locked out of your account, just follow the steps on your device to share the onscreen instructions with your recovery contact in-person or on the phone. Your recovery contact then shares a six-digit code that you enter on your device. After your identity is confirmed, you can reset your Apple ID password.

This is more for after recovery:

You should not be using a single Apple account on that many devices.

Apple Business Manager + Mobile Device Management (MDM) will remove the need for using an Apple ID on devices.

What are you trying to accomplish with using a single Apple account on that many devices?

I just gave a direct quote from an Apple support article. It may not always apply, but this is what Apple itself says.