At the time/at that time

[Maybo]

Back in April, Spears' legal team asked Penny to allow her to speak to the court directly about the conservatorship, and they agreed that June 23 would be the date for this to happen. At the time, Ingham did not disclose why Spears wants to speak or what she intends to say. (Britney Spears Is Headed To Court To Address Her Conservatorship. Here's What To Know by ANASTASIA TSIOULCAS)

What's the difference in meaning if I replace "at the time" with "at that time"?

 

[teechar]

[STRIKE]What's the difference in[/STRIKE] How would the meaning change if I replace "at the time" with "at that time"?

It wouldn't. They mean the same.