Need Python Code to parse text file - Part 1

I need the code to create a separate text file and write certain pages (or lines) to the new file. I just want the code to review and run myself. I don't need an executable.

Part 1:
Extract the BEARING SEAT ELEVATIONS pages and write to a newly created text file.

I've included two sample files to read from. For the BR07_02.ls2 file there are 6 "Pages" of BEARING SEAT ELEVATIONS. For the Bridge22.ls2 file there is 1 "Page" of BEARING SEAT ELEVATIONS. For these files they happen to be at the end of the file, but assume they can occur anywhere within the text of the file. Need the code to extract that information without the page headers and place all the other lines (non-header info) as-is into a new text file.

This is just the first part of the project. There are several other reports within the text file that need to be extracted in a similar fashion. Part 2 of the project will be developing the code to extract all the separate reports from the file. If we can get the Part 1 done satisfactorily, we can discuss Part 2.