want to reply to interview invitation

[hampeh]

Here is the scenario. I just joined the Company ABC and still in training. At Company ABC, I’m working on shift whereby I have a lot of time. In order to utilize the free time, I plan to teaching at local and nearby university or college.
Yesterday I received an email from University XYZ. They asked me whether I’m available for the interview.
I really want the position as a part time which I don’t mentioned it while I writing email to them. Hopefully they can schedule the interview while I’m on leave because I’m working on shift. And hopefully, while I’m on off day, I can teaching there as a part time lecturer.
Here is the email from her and my draft. Your kind advice in this matter would be most appreciated.
Thanks

Dear Hampeh,
I am writing with regard to your application for a lecturing position at University of ABC.
I would like to invite you over for an interview next week. Will Thursday 11th September, 10 am be convenient for you?
Regards,
Michelle

Dear Michelle,
Thank you for your invitation. I really appreciate the opportunity given. The position is very fascinating.
FYI, I have just joined Company X this month and I will start working on shift as of the following.

M T W T F S S M T W T F S S
0 0 0 0 X X X X 0 0 0 X X X X

Where 0 is working days and X is off day. I’lll start the shift later after completed the training. Now I have to come at office at 9 – 5 every day.
As I joined the company, I wouldn’t be nice if I take a leave. Is it possible if your good side can wait until I’m working on shift whereby I can attend to the interview during my off day.
I’ll let you know when I got my full schedule on my shift.
I look forward to hearing from you soon.
Thank you and best regards,
Hampeh

[Anglika]

Since the invitation is for a Thursday, then all you need to say in reply is Thank you for your e-mail, offering me an interview on xxxxx. I shall be able to attend this interview and shall look forward to meeting you then.

Keep any discussion of your current position until the matter is raised at the interview.