Totally agree.
There's also some resistance to azithromycin. Another alternative treatment is doxycycline for 7 days.
Definitely talk to your doc.
If you're in the US, you can show your doc this - https://www.cdc.gov/std/treatment-guidelines/chlamydia.htm
It may be a little soon for a test of cure but the often dose is either a 1 to 1.5g stat for a 1g stat with 500mg the next 2 days. Either way I would have a chat with the doc :)