Practice even T/K alternation on a comfortable note. Listen for clear beginnings before adding speed. Syllables are teaching cues, and players differ.
The notation is a silent trumpet example; adapt the pitch to your instrument. The orchestral music is illustrative background.
Full lesson: Brass Double and Triple Tonguing: Clarity and Rhythm
Use the Related video link below the channel name to keep learning.
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Music: Mendelssohn – Symphony No. 4 in A major, Op. 90 ‘Italian’ – IV. Saltarello. Presto. Composer: Felix Mendelssohn. Performance: Musopen Symphony (2012), provided by Musopen via Wikimedia Commons. Recording released into the public domain by Musopen; composition public domain. Source: Excerpt begins at 0 seconds; excerpted, level-normalized, ducked below narration and faded. Original pitch and tempo preserved.
Narration uses a synthetic voice.
source

Which is clearer today: your T or your K? Start slowly and listen for even note beginnings. Tap the linked full lesson below the channel name, and subscribe for more brass lessons.