بسم الله الرحمن الرحيم
If you gave only one talaq on 5th February and no physical contact or foreplay was done between both of you from 5th February to 8th July and also you did not say any word for ruju (revocation) as well and the wife completed three haiz from 5th February to 8th July, then in such case since the iddah of the wife is over and the nikah came to an end hence the last word of email i.e. I am giving you “talaq, talaq talaq” is null and void. And only one talaq which was given on 5th February took place. The ruling for you is that both of you may do new nikah with the consent of both parties with new mahr.
Note: If you gave three talaqs on 5th February or you did ruju verbally or practically or the iddah was not over till 8th July then the ruling shall be different. If it is so then explain it and know the ruling again.
Allah knows Best!
Darul Uloom Deoband