This is the 178th most frequent Hindi word.
टक
"टक" in Hindi means "till" or "up to."
Here, "तक" is used as a postposition to denote the extent up to which the action occurred, in this case indicating 'up to the aunt's house.'
मैंने अपनी आंटी के घर तक दौड़ लगाई।
I ran up to my aunt's house.
In this instance, "तक" is used temporally to indicate the time span, signifying 'until two o'clock at night.'
रात के दो बजे तक मैं किताबें पढ़ता रहा।
I kept reading books until two at night.
"तक" is employed to emphasize the vast extent of reach in this sentence, marking 'to every corner.'