Best material to level concrete porch from 2 3/4" to zero?

Old concrete stairs leading to concrete entry porch (5' x 8') have been rebuilt out of wood. New stairs are level. Porch is out of level by about 2 3/4" over 5 feet. Riser height of new stairs is 7 7/8". Top riser is old concrete resulting in a wedge that is 7 7/8" at the house (stairs run alongside the entry wall) and about 5" at the other end, resulting in a trip hazard.
Top wooden tread is wider by half an inch, 13", than the lower treads which are 12 1/2" wide. Top conc riser is plumb. I need to place a form board at an angle to achieve a nosing. Form board will be spaced 1/2" from the conc riser at the bottom where it intersects the top wooden tread and will lean away from the conc riser to achieve the nosing.
Porch is being stripped of paint and will be power washed and scuffed with a carborundum grinder, and concrete bonding adhesive or a mixture of Acryl 60, sand and cement will be used to get to a good surface for adhesion of new material. Wire mesh and #3 rebar will be used where practical, especially in the new concrete nosing.
What mix should I use to have the best chance of getting out of this in one piece?
A hod carrier friend who mixes for plasterers suggested that I use conc with pea gravel where deep enough, then sand, cement and 1/8" agg (he suggested aquarium gravel) where the depth gets down to less than an inch, and then cement and fine sand where it feathers to zero. We didn't discuss what to use between the new form board and the old concrete riser but I would guess the sand, cement and 1/8" agg would be appropriate, perhaps with some admixture like Acryl 60, which would probably be a good idea to use everywhere.
I'm considering using the first two mixes and only pouring to a depth of 1/2", where I will use a small form to create a roundover edge to the conc and then come back after this has set up and use another appropriate material to feather to zero the remaining 12 to 16 inches. I would rather do it all at once, though. If I'm organized about it, with the the right materials on hand, and enough buckets and troughs to mix the different mixes, I feel I should be able to knock it out in one go.
The big concern is where it gets thin, less than 1/2 inch. Is there anything more better than sand, cement and Acryl 60?
tnx, Jack
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file
Upload is a website for homeowners and building and maintenance pros. It is not affiliated with any of the manufacturers or service providers discussed here. All logos and trade names are the property of their respective owners.