When you are trying to match only documents with arrays where the sequence [ 1 2, 3 ] appears in values field and only in that exact order, you can do it this way:
db.testcol.find()
{ "_id" : "first", "value" : [ 1, 2, 3 ] }
{ "_id" : "second", "value" : [ 4, 5, 6 ] }
{ "_id" : "third", "value" : [ 1, 12, 13 ] }
{ "_id" : "fourth", "value" : [ 3, 2, 1 ] }
{ "_id" : "fifth", "value" : [ 1, 12, 13, 2, 3 ] }
{ "_id" : "sixth", "value" : [ 3, 2, 1, 2, 3 ] }
> db.testcol.aggregate([{$addFields:{
cmp: {$in:[
{$literal:[1,2,3]},
{$map: {
input:{$range:[0, {$subtract:[{$size:"$value"},2]}]},
as:"l",
in: {$slice: [ "$value", "$$l", 3] }
}}
]}
}}])
{ "_id" : "first", "value" : [ 1, 2, 3 ], "cmp" : true }
{ "_id" : "second", "value" : [ 4, 5, 6 ], "cmp" : false }
{ "_id" : "third", "value" : [ 1, 12, 13 ], "cmp" : false }
{ "_id" : "fourth", "value" : [ 3, 2, 1 ], "cmp" : false }
{ "_id" : "fifth", "value" : [ 1, 12, 13, 2, 3 ], "cmp" : false }
{ "_id" : "sixth", "value" : [ 3, 2, 1, 2, 3 ], "cmp" : true }
What the $addFields stage does is checks if [1,2,3] appears in a list of three element arrays starting at position 0 of value array and moving forward till two positions before the end.
As you can see, it's now trivial to add a $match stage to filter out documents where cmp is not true.