The current setup restricts the access to the dock from the external monitors, requiring me to switch back to the MacBook screen. This process is inefficient for my workflow as it involves scrolling through multiple monitors, consuming valuable time.
For help with the macOS Dock, please post in the Apple Support Community. The Apple Developer Forums are for questions about APIs and features intended specifically for developers.
I have "automatically hide and show the Dock" turned in my dock settings. When I want it to appear on external monitors, I hover my mouse at the bottom of the monitor's screen for a few seconds and the dock moves over to the other monitor.
Please try that. If that isn't working the way you expect, then please consider filing an enhancement request using Feedback Assistant. Once you file the request, please post the FB number here.
If you're not familiar with how to file enhancement requests, take a look at Bug Reporting: How and Why?