Taxed amount is the difference between the team salary excluding any holds, and the luxury tax limit (taxed amount = team salary - holds - luxury tax limit)
Beginning in 2024-25 the tax bracket span will increase at the same rate as the salary cap (beginning with $5M spans). [2023 CBA Article VII (2)]
Beginning in 2025-26 the tax rates will change. The first two brackets will decrease, all other brackets will increase. [2023 CBA Article VII (2)]
A "Repeater" is a team who has had no luxury tax room in 3 of the 4 immediately preceding seasons, where the first season considered is the current season (since the tax is calculated after the season ends).