pronoun se repeated or not?

[Swth\r]

The question is simple:

When the subject accusative of an infinitive is the reflexive pronoun, does it have to be doubled (tripled etc) in embedded structures with verba dicendi et sentienti (or in general)?

E.g.
1. Tristis sum
2. Dixit [se tristem esse]
3. Illa dixit [eum dixisse [se tristem esse]]
4. Quidam arbitratur [illam dixisse [eum dixisse [se tristem esse]]]
Etc. etc.

Ok so far... But what about the next?

1. Tristis sum
2. Puto [me tristem esse]
3. Ille dixit [se putare [se tristem esse]]

or perhaps (???)

3. Ille dixit [se putare [tristem esse]]

I have tried to find some passages with a doubled (3d person) reflexive but I failed...

Thanks in advance for any reply

[adrianus]

I don't think it wrong to say "dixit se putare se tristem esse" but maybe "dixit sese putare tristem" is better.
Nescio cur non sed forsit melius sit hoc: "dixit sese putare tristem"

[Swth\r]

I don't think it wrong to say "dixit se putare se tristem esse" but maybe "dixit sese putare tristem" is better.
Nescio cur non sed forsit melius sit hoc: "dixit sese putare tristem"

Thanks for answering Adriane!
Nevermind with the paradigm at hand. The general use is under examination, not any specific one. It could be like (e.g. again):

Dixit se putare se respondisse.

< Puto me respondisse.

[adrianus]

As I said, I do think it's OK to speak so.
Ut dixi, bonum est sic dicere, nisi fallor.