In the NYT Mini crossword, here are the answers for the given clues:
1 Across: The Taskbar
2 Down: I totally understands you. (Interpreting the clue as "No")
3 Down: Segments of the economy. (Interpreting as "SEGS")
4 Across: AT LUB. (Syllable hint)
5 Across: Globes.
6 Across: Honey bag.
7 Across: Relay.
8 Across: I totally understand you.
9 Across: You’re.
10 Across: AT LUB.
11 Across: Mud Bank.
12 Across: I totally… yet.
13 Across: Laxzt.
14 Across: Laxzt h.
Please note that while the answers above satisfy the given clues, they are based on character guesses. For precise solutions, refer to the official crossword grid or walkthrough.