Creating graph from sequential patterns and finding unique paths between nodes

I would like to create a graph model that captures the following sequential patterns and return unique paths between specific nodes:

Sequential Patterns

Pattern ID Sequential Pattern
1 A8-->A9
2 A8-->S8-->A9
3 A8-->A9-->S9
4 A8-->S6-->S8
5 S8-->A8-->A9
6 A8-->S8-->S9

Edges of Graph Model

Edge ID From Node To Node Type
1 A8 A9 -Transition->
2 A8 S6 -Transition->
3 A8 S8 -Transition->
4 S8 A8 -Transition->
5 S8 A9 -Transition->
6 S8 S9 -Transition->
7 S6 S8 -Transition->
8 A9 S9 -Transition->

The desired output of unique paths starting at A8 and ending at A9:

Path ID Unique Path
1 A8-->A9
2 A8-->S8-->A9

I have tried the following:

MATCH (a: node{name:'A8'})
MATCH (b:node{name:'A9'})
CALL apoc.algo.allSimplePaths(a,b,'Transition>',3)
YIELD path
RETURN reduce(s="",n in nodes(path) | s+(CASE WHEN s="" THEN "" ELSE "-->" END) +n.NAME) as string

I get the following output:

string
A8-->A9
A8-->S8-->A9
A8-->S6-->S8-->A9 *
A8-->S9-->A9 *
A8-->S8-->S9-->A9 *
A8-->S6-->S9--A9 *

Any suggestions on how I can produce an output that excludes the last 4 paths (marked with *)?