I would recommend all users including global admins in your tenant to register for MFA even though they are not prompted for MFA. This will ensure that you are not blocked to access the Azure AD portal even if MFA is enforced through conditional access policy.
In your scenario there are 2 accounts. If you want to MFA to be prompted only for account 1.
In this scenario while configuring MFA, you can include only the user accounts to whom MFA needs to be prompted.
If you have multiple groups of accounts and if you want to exclude only one account from the group, then you can use the exclude option which configuring conditional access policy.
After creating the policy, you can use whatif tool to confirm what all policies are getting applied to specific account.
Refer below article to know more about what if tool,
https://learn.microsoft.com/en-us/azure/active-directory/conditional-access/troubleshoot-conditional-access-what-if
This way you can create a policy and run what if tool against one admin account and confirm regarding MFA prompt.
Do let me know if you have any further questions on this
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