2 passports same country

I'm Indonesian and live in philippines, I have passport A and still valid for 3 years, recently I went home to my country to apply for passport B with purpose to add last name on it. Since I just stayed for a while and passport B not yet come out, I went back to philippines using my passport A. My plan is ask somebody to send passport B to philippines via courier when it come out.

Will this be okay for me to get out from philippines and to enter indonesia or other country using my passport B?
Or do I need to go back to indonesia first using passport A and get out again using passport B?
When they issue passport B, will my passport A immediately detected as invalid in customs dabatase?

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What countries let you have two valid passports?

With sufficient proofs, the countries that will grant a second passport include Austria, Finland, France, Germany, Ireland, the Netherlands, New Zealand, Norway, Poland, Portugal, Russia, South Africa, Spain, Sweden, Ukraine, and the United States.

What happens if you have two passports?

A person with dual citizenship is a citizen of two countries at the same time, which has both advantages and disadvantages because it is a complex legal status. One benefit of dual citizenship that is often cited is the ability of an individual to possess two passports.

Can you keep 2 passports?

Dual nationality or dual citizenship simply means that a person legally is a citizen of two countries at the same time, qualified and recognized as such under each nation's law. It also means that such a person has, and can use, two different official national passports.

How do you travel with two passports?

Travelling with two passports: which passport to use when dual citizen is at an airline counter. You need to show your second passport, for example a Maltese one. Usually, along with the ticket, the passenger must present a visa allowing entry to the European Union.

HOW TO TRAVEL WITH 2 PASSPORTS | Tips From a Dual Citizen

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