This recent puzzle I created was well-received, so here's another one like it, except this time a bit larger and using homophones.

Create a word search with the following conditions:

1. Use the fifteen words below. They can be spelled up, down, left, right, or any of the 4 diagonal directions.

THEYRE
THEIR
THERE

TACKED
TACT

TEA
TEE

TAIL
TALE

TAUGHT
TAUT

TARE
TEAR

TEEM
TEAM

2. The size of the word search must be 7 rows by 7 columns. (Bottom right square not used.)

3. The number of words that pass through each square must fit this pattern:

4. The accepted answer will clearly and fully explain the flow of logic used from start to finish.