this is a normal behavior in webaccess. You will not be able to change this.
Is there really no options on this ? It seems very limiting as you can't then see the Incident at the same time as typing a note...
Might need to reconsider the move away from Console, as it works fine there.
You can also have a look at this document: Creating a Note Window with Incident Details
I know it is designed for console, but I think this would also work in webaccess.
But as far as I know there is no other option you have.
You can have a look at the idea section, their you'll find some ER's regarding configuring the start in new tab/window perhaps one of them fits and you vote for them.
Will look into the suggestion there - the "process" based one won't really work for us, but the option of pulling limited info onto the screen might be an alternative. I'm now following the discussion there to see how much joy folk have had, but its not been updated for a while.
Time allowing, I'll try it in our Test system.