The following Doha says that Manu and Satarupa performed penance to attain Shri Hari, from whom occurs many Shivas, Bhramas, and Vishnus. While my understanding is that 'Hari' is used for 'Vishnu'; hence they are the same and not different. Even in other parts of Ramcharitmanas 'Sri Hari' is used for 'Vishnu', that is why I am a bit confused on the Doha.
Hari (हरि:- क्लेश हरति इति हरि)
Meaning:- one who destroys/takes over difficulties.
In Ramcharitmanas, hari word signifies parabrahman maha Vishnu swarup shri ram
As padma Purana says:-
ब्रह्माविष्णुमहेशाद्याः यस्या अंश लोक साधकाः। तम् आदिदेवं रामं विशुद्धं परमं भजे।।
Quoted in gita press Kalyan ank.
Crores of Brahma , Vishnu, Shiva and other devas are whose ansh, I salute to that adideva bhagwan shri Ramchandra.
And skand Puran Nirvana khand says:-
यदैकमात्मानमनेकधैव विभज्य विश्वं व्यतनोरमूर्ते । तदैवभानोवि रश्मयोऽमी त्वत्तोवयं रामविनिस्सृता हि॥
(Skandh Puran Nirvaan Khand)
Lord Sri Vishnu says to Sri Ram:—
O Sri Ram! At the time when you expand the world by dividing your one form into many forms, at that time we emerge from you just as rays are transmitted from the sun.
यस्यांशेन एव ब्रह्म विष्णु महेश्वरा अपि जाता महाविष्णुर्य्यस्य दिव्यगुणाश्च । स एव कार्यकारणयोः परः परमपुरुषो रामो दाशरथिर्वभुव॥
~Atharvavedā Shrüti Vedsaropanishad
Whose Ansh are Brahma Visnu and Mahesvara(Rudra), Whose divine Guna is Mahavisnu, The only one who is the cause of all causes, The one who is higher than the highest, such is Śrī Rāma, the son of Dasratha . So, goswami tulsidas ji words were never wrong
I hope, my answer will you guys