Oyun yöneticisi ipucu hakkını açıkladı.

Because oyun yöneticisi is a very common Turkish noun-compound pattern.

In Turkish, when one noun modifies another noun, the second noun often takes a 3rd-person possessive-looking ending:

• oyun yöneticisi = game manager / game moderator
• öğrenci kartı = student card
• şehir merkezi = city center

So the -si here does not mean his/her manager in the usual sense. It is part of the compound structure.

These are two different structures:

• oyun yöneticisi = game manager / game admin
  This sounds like a role, label, or type of person.

• oyunun yöneticisi = the manager of the game
  This is a more explicitly possessive phrase, referring to a specific game's manager.

So in your sentence, oyun yöneticisi is probably being used as a role title rather than as a fully possessive phrase.

Yes. It is another noun compound.

• ipucu = hint / clue
• hak = right
• ipucu hakkı = hint right, meaning something like the right to receive a hint

Just like oyun yöneticisi, the second noun gets that compound ending:

• hak → hakkı

So ipucu hakkı is a set phrase meaning the right to a hint or hint allowance/entitlement, depending on context.

Because the whole phrase ipucu hakkı is the direct object of the verb, and it is marked with the accusative.

The structure is:

• hak = right
• hakkı = its right / right-of, as part of the compound ipucu hakkı
• hakkını = hakkı
  • accusative -nı

So:

• ipucu hakkı = the right to a hint
• ipucu hakkını = the right to a hint as a specific direct object

The n is a buffer consonant that appears before some case endings after possessive endings.

That is just how this word behaves when suffixes are added.

The dictionary form is:

• hak = right

But with a vowel-initial suffix, it becomes:

• hakkı

This is something you mostly learn as part of the word's inflection pattern. Turkish has a few words that change spelling a bit when suffixes are attached, and hak is one of them.

So in practice, learners usually remember:

• hak
• hakkı
• hakkını

as normal forms of the same word.

The biggest clue is the accusative ending on hakkını.

In Turkish, a specific direct object is often marked with the accusative. Since ipucu hakkını has that marking, it is naturally read as the object.

That leaves oyun yöneticisi as the subject.

So the structure is:

• Oyun yöneticisi = subject
• ipucu hakkını = object
• açıkladı = verb

Because Turkish often uses the accusative for a specific or definite direct object.

Here, the sentence is not talking about just any possible hint right in a vague way. It refers to a particular, identifiable ipucu hakkı, so Turkish marks it:

• ipucu hakkı → unmarked form
• ipucu hakkını → specific direct object form

This is one of the most important patterns in Turkish grammar: specific objects usually get accusative marking.

Because Turkish's default word order is Subject–Object–Verb.

So this sentence follows a very normal pattern:

• Oyun yöneticisi = subject
• ipucu hakkını = object
• açıkladı = verb

English usually prefers Subject–Verb–Object, but Turkish usually puts the verb last.

Turkish word order can change for emphasis, but the end-of-sentence verb is the most neutral pattern.

Açıkladı is:

• the verb açıklamak = to explain / announce / reveal
• plus -dı, the simple past tense ending
• in 3rd person singular

So açıkladı means he/she/it explained / announced / revealed.

Turkish usually does not need a separate subject pronoun like he or she when the subject is already stated, so oyun yöneticisi is enough.

It can mean any of those, depending on context.

Açıklamak has a wider range than a single English verb. It can mean:

• explain
• announce
• declare
• reveal
• make clear

So the best English choice depends on the situation. If the game manager is formally making something known, announced may fit well. If they are clarifying it, explained may fit better.

Because Turkish does not have articles in the same way English does.

There is no direct equivalent of the in ordinary Turkish grammar, and bir can sometimes mean a/an, but it is not required in all the places where English uses an article.

Instead, Turkish often shows definiteness through:

• context
• word order
• case marking, especially the accusative

So part of what English expresses with the, Turkish often expresses with structure and endings like -ı / -i / -u / -ü on the object.