After getting a new iPad, I no longer got messages from Android users on the iPad. I saw recommendations online to use “text message forwarding” but that option did not exist on my iPhone. I noticed that the new iPad had chosen to start new conversations from my iCloud email account rather than my phone number. By setting my MBP, iPad, and iPhone to start new messages from my phone number (in the settings of the Messages apps), the “text message forwarding” option appeared in the Messages settings on my iPhone. I then added the new iPad and older MBP to the list of devices behind that forwarding option. It all seems to work now.