التركيب بكرة الصبح.

It is a noun, not a verb. More specifically, it is a verbal noun derived from ركّب = to install / to assemble / to put together.

So التركيب here means something like:

• the installation
• the fitting
• the assembly
• in everyday service contexts, even the installation appointment

That is why the sentence can mean The installation is tomorrow morning.

Because Arabic often uses a nominal sentence with no present-tense form of "to be."

In English, you need is:

• The installation is tomorrow morning.

In Egyptian Arabic, you can simply say:

• التركيب بكرة الصبح

So the structure is basically:

• التركيب = the installation
• بكرة الصبح = tomorrow morning

The meaning is is understood automatically.

A natural pronunciation is approximately:

et-tarkīb bokra s-subḥ

A few useful notes:

• التركيب is pronounced et-tarkīb, not al-tarkīb, because ت is a sun letter, so the ل of الـ assimilates.
• بكرة is usually pronounced bokra or bukra depending on speaker.
• الصبح is pronounced s-subḥ or more carefully ṣ-ṣubḥ, because ص is also a sun letter.

So you will often hear something close to:

et-tarkīb bokra s-subḥ

Because بكرة is the normal everyday Egyptian Arabic word for tomorrow.

• بكرة = Egyptian colloquial
• غدًا = Modern Standard Arabic / formal Arabic

If you are speaking naturally in Egyptian Arabic, بكرة is what you usually want.

You may also see بكره in informal spelling. That is just a common spelling variation in dialect writing.

You can say التركيب بكرة if you only want to say The installation is tomorrow.

But الصبح adds the time of day:

• بكرة = tomorrow
• الصبح = the morning / in the morning
• بكرة الصبح = tomorrow morning

So the full sentence is more specific.

Because in Arabic, time words like الصبح, الليل, العصر, and similar expressions often appear with the definite article.

So بكرة الصبح is just the normal idiomatic way to say tomorrow morning in Egyptian Arabic.

English says tomorrow morning without the, but Arabic commonly uses the morning in this kind of expression.

No. In this sentence, you do not need في.

Egyptian Arabic often uses time expressions directly as adverbs:

• النهارده = today
• بكرة = tomorrow
• الصبح = in the morning
• بالليل = at night

So التركيب بكرة الصبح is completely natural.

If you add في, it usually sounds less natural here.

Yes, you can, but the emphasis changes.

• التركيب بكرة الصبح = neutral, very natural
• بكرة الصبح التركيب = puts more focus on when

The version with التركيب first is especially natural if the topic is already known and you are answering a question like When is the installation?

The future meaning comes from the time expression بكرة الصبح.

Arabic does not always need a separate future marker if the time phrase already makes the meaning clear.

So even without حـ or هـ or another future marker, the sentence is understood as referring to the future because tomorrow morning clearly points to a future time.

Not always. It depends on context.

التركيب can mean things like:

• installation
• assembly
• fitting
• composition
• structure

But in everyday Egyptian contexts such as internet service, appliances, air conditioners, kitchens, furniture, or repairs, it very often means the installation or the fitting.

So the context tells you which English meaning is best.