IAM Identity Center: AWS Management Console and AWS Account Context

We are in the process of setting up a new fleet of AWS accounts, and have configured federated access from our IdP via IAM Identity Center. It works very well.

What is lacking, however, is useful context within the AWS Management Console to clearly identify where the user is operating at the time.

The AWS Portal provides a very convenient and useful list of accounts (with their proper names) and available roles. Here is an obfuscated example:

When we use any of the links from this page, we jump directly into one of our accounts via the relevant Permission Set. The only context that we see is quite unhelpful, and I have concerns that anybody in our team could easily forget which account they are working in, leading to mistakes of varying consequence. The only information that seems to be readily available is the information shown under the 'current user' drop-down in the top-right of the console, which only shows the not very helpful account identifier.

We'd really like a way of clearly seeing the account name, perhaps in the header bar, ideally along with a color (like you can configure with AWS role switching). Basically what we had via old-school IAM with role switching. Does anybody know if this is a thing, or if there is something that I'm missing