Wow! Nice to see Song-Writers talking about Song-Writing!
I see Rob's take uses what I call a Refrain Type Chorus, actually that single Line from Verse I, "Meet Me Here, Same Time, Same Dream".
It could simplify and shorten the Song, more desirable for radio play, and consumer attention span, in my estimation.

Same Time, Same Dream

(Verse I)
It's warm! It's late!
I really shouldn't be awake, but I am.
And I know,
I'm just waiting for the chance,
the chance to sleep and dream
where I left off! (Pitch rises, indicating main idea coming)
(Chorus Refrain)
Meet me here, Same Time, Same Dream!

(Verse II)
It’s quiet! It’s dark!
I try to calm my beating heart, but I can’t.
And I feel,
like I’m holding on to hope,
So deep it keeps
Pulling me back
(Chorus Refrain)
Meet me here, Same Time, Same Dream!

(After two 'givings' of the Melody in Verse I and Verse II, a Bridge is sometimes, not always, employed to break the risk of ''monotony', mono = one, tony = tone, losing listener interest.
A Bridge, ideally, has its own Melody, different from the Verse, its own Rhyme-Scheme, maybe sh orter sentences/Lines, having more 'effect' in sustaining listener attention.
Lyric content of a Bridge is preferably pivotal information in the Storyline of the Lyric.
Ideally, a Bridge is brief, only long 'Enough' to serve that function, to Supply that Demand for a break in Repetition.
A Song must have 'Enough' Repetition to Supply Structure Demanded to enable listeners to relate to it, and must have 'Enough' Change to keep them listening.
A Bridge functions to renew listener interest with Change.
A good Verse III may eliminate the Demand for a Bridge. It is the Song-Writer's Judgment Call to ascertain how much is 'Enough' or 'Not Enough' or 'Too Much'.
How much Introductory Movement is 'Enough'? One Measure or Bar, three, four?
How much Lyrical 'Exposition', Story-Telling, scene-setting has been done, and is it 'Enough', the 'timing' right, to go on to a Chorus, or a Bridge?
Is it 'Too Much', losing listeners before you get to the Chorus, Stanza-Type or Refrain-Type?
It has to do with the Human Attention Span, and whether what you present keeps it engaged.
It's not a written 'Rule', inflexible. It is very flexible, hence the Song-Writer's Judgment Call.
Listeners will make their own Judgment Call, paying attention, or drifting off to their own thoughts, reaching into their pocket to hear the Song again, or keeping their money in their pocket without desire to hear it again.
The Song-Writer, who is The First Listener, has the opportunity to make Judgment Calls throughout the Composition, before other listeners make their own.)

Chorus (This Stanza could be a Bridge)
In my mind you reach for my hand
Like you’ve always known who I am
Every night I fall just a little too deep
Meet me here, same time, same dream

(Above Stanza as a Bridge)
You reach for my hand!
You know who I am!
Let's fall to sleep!
Meet me here, Same Time, Same Dream!
(Some say a Song should not use the Title Line, THE Hook, in a Bridge. I think it is a Judgment Call for the Song-Writer.)
(After a Bridge a final giving of the Chorus (if a Stanza-Type Chorus is used) or a Verse III can be given to complete the Composition.
At this point the time-factor is a Judgment Call. Can you keep listeners engaged much longer?)

(Verse III)
I see your face
Though I don’t know you at all
But I do
And it feels
Like you’ve been waiting for me
So long
So close
Just out of reach
Meet me here, same time, same dream

(Verse IV)
One day I’ll wake
And you won’t fade with the light
You’ll stay
And I’ll know
Every step led me to you
Somehow
Right now
I believe
Meet me here, same time, same dream

Chorus
In my mind you reach for my hand
Like you’ve always known who I am
Every night I fall just a little too deep
Meet me here, same time, same dream

(Below is the Stanza designated by the Song-Writer as a Bridge. I'd simplify it.)
(Bridge)
Maybe someday I’ll recognize your eyes (Maybe? Or definitely?)
In a crowded room, in the waking light
And I’ll smile like I’ve been here before
Like I’ve loved you in a place beyond the door

(Bridge)
Someday I’ll see your eyes,
across a crowded room,
in the waking light!
We’ll smile like we've been here before!
We’ve loved in a place beyond the door!

Chorus
In my mind you reach for my hand
Like you’ve always known who I am
Every night I fall just a little too deep
Meet me here, same time, same dream

(A final Musical Movement in a Composition is called a Coda, Italian for 'tail'. Pop music calls it an 'Outro'. Jazz calls it a 'tag'. 'Intro' is a common abbreviation for 'Introductory' Musical Movement.
There is no word for Outro, Outroductory Musical Movement. We could coin one, for the purpose.)
Outro
So I stay awake
Just long enough to drift back in
Where hope feels close
And lonely finally ends
Meet me here, same time, same dream (Words murmered, as if the Singer-Character is drifting off to sleep.)

There will always be another song to be written. Someone will write it. Why not you? www.garyeandrews.com