Prayer within 8 cubits of the synagogue entrance

The Gemara explains that one must enter the synagogue a distance of two doorways, which is 8 cubits, in order to pray. The question is, if there is a vestibule before the entrance, does one still need to enter 8 cubits?

If there is a vestibule before the entrance to the synagogue, there is no need to distance oneself 8 cubits.

Gemara Berachot, page 8a: "Rav Chisda said: A person should always enter two doorways into the synagogue. Two doorways? - Rather, say: the distance of two doorways, and then pray." And so ruled the Shulchan Aruch, Orach Chaim, Siman 90, Paragraph 20: enter the distance of two doorways and then pray. Some say the distance of two doorways is 8 handbreadths, to enter inside, so as not to sit at the entrance, which appears as disrespect for the synagogue. According to this, if he has a special place at the entrance, there is no problem. Some say the reason is that he looks outside and cannot concentrate, and according to this, if it is not open to the public domain, there is no problem. Some say not to rush to pray immediately upon entering, but to delay the distance of two doorways. It is proper to consider all explanations. Magen Avraham, Siman 90, Se'if Katan 35, wrote: "According to all explanations, if his place is at the entrance, and it is not open to the public domain, and he delays the distance of two doorways, it is permitted. It is questionable that he omitted the opinion of the Tur, who holds that in Jerusalem they learn from the verse 'to be attentive to my doors', and so wrote the Bach, and therefore always enter inside two doors, and therefore it is customary to make a vestibule before the synagogue. This is cited by the Mishnah Berurah, Se'if Katan 61, proving that when there is a vestibule before the entrance to the synagogue, there is no concern."