[Help] [Urgent] ICT to Blue card visa

Please Help
How can I start the blue card process that is not affected by me going to India and coming back to collect it so that I can start working with my new employer in time while I am on an ICT visa with RP?

I was deputed last year(September 2019) by my Indian company to work at the client location XYZ in Germany.
German Embassy in India gave an ICT visa, which was printed on my passport.
Then when I reached XYZ, I did a local registration at Rathaus.
In September 2019 month’s end, I applied for a Residence Permit with visa extension at XYZ’s Rathaus
as my ICT visa(printed on passport) was going to get expired in October 2019

[from October to December I had a probationary visa as my ICT was expired and my RP was not with me]

On 2nd January 2020, I got my Residence Permit(RP card + zusatzblatt zum aufenthaltstitel)
RP card contains the validity period while zusatzblatt zum aufenthaltstitel contained the name of my company written on it. (I guess this is the ICT)
While receiving Residence permit the lady in the service room told me that both documents will work together & not alone.

On 9th Jan 2020, I got an offer letter from a German company located in MNO in Germany.
I wanted to join this new company as I liked many things(like salary, work culture, technology, job profile).
Therefore, On 16th January I signed the offer letter and submitted the resignation letter on at my company.
Notice period at my company is 3 months so my last day will be on 16th April 2020
My joining date for the new employer is 1st May 2020.

[Now]
On 23rd January 2020, I went to XYZ’s Rathaus to apply for a blue card with the offer letter and other required documents.
Lady working there told me if you apply now then you will only be able to collect the card 1 week before the joining date (23rd April 2020)
I had a few questions that I asked and after getting some of the answers I found one problem due to which I did not apply for the Blue Card.

The problem is:
Lady at XYZ’s Rathaus told me that
1. if you want to apply for the blue card then you have to stay in Germany till 23rd April 2020 (during the whole period)
2. If you leave for India then the blue card process will stop. Also, your residence permit will become invalid if you deregister from XYZ city.
3. I am not sure that I will be able to stay till 23rd April because my old employer can just decide to send me back to India anytime.
4. If I go back to India then applying for a blue card will happen from the German embassy.

My questions:
1. Is it right what the lady is telling me? Because one of my friends did the same and he was able to apply. Also, he will be able to travel between India and Germany based on RP.
2. Is my friend correct?
3. Should I consult my problem with someone working in the visa department or some kind of lawyer?
4. Please suggest me on what is that I should do now

It is true that you have to apply for any visa (or change of it) at your residence, meaning if you give up your residence in Germany and move to India, the German embassy there is in charge. But since you have a valid residence permit for the whole period, there is no need for that.
I believe that travelling (i.e. temporary visits) abroad are not a problem at all.
But other than that, you should follow the guidelines given by your local Ausländeramt. They know best (even if they tend to be slow and difficult to deal with)!

Yeah, I have got the solution. I don't have to deregister when my company sends me back. Then my residence permit will be still valid, meaning I will be able to travel back to Germany. I will deregister after I get my blue card from the Rathaus of the city XYZ.  And then I will have to go to city MNO to find an apartment and register there

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