The second part of the endgame is a Codeword. Shading the H squares makes the grid, and the numbers key the cells -- cells with the same number will have the same letter in, and these letters have no relationship to the original gridfill at all. "The title may be read as help for following one of the instructions" becomes essential here: L is 10. This is pretty thin as a starting point for a Codeword, but I noticed that we had two words *LL, and one of them used the "1" which must therefore be A, I, or E. I saw *1**1 in the top right, and felt a Greek letter vibe, which proved to be sound. Also, several other suggestive words appear, so it wasn't too bad in the end.
With our completed Codeword, "use BETAs" tells us to focus on the cells with B (preprinted) in them. There are ten Bs, and each falls at the start of a word in the Codeword. It wasn't immediately obvious what order to take the words in, but by reading across words first and then down, in normal clue order, the second instruction emerges: ERASE, ALL, BUT, TAU, ENTRIES, SOLVE, LETTER, SUDOKUS, USE, KAPPA. This tells us to "erase all but TAU entries" (a capital TAU is "T", so erase all squares except those with a T in, or start with a new grid and copy over the Codeword letters for just the cells with T (preprinted) in), "solve letter sudokus" (we notice that the grid is 9 rows by 18 columns, which makes two sudoku grids side by side -- I drew in nice thick lines to make it clear), and when solved we "use KAPPA" (a capital KAPPA is "K", so we will look at the cells which have a preprinted B in them).