Add Cyclic Tag hole

[1231234md5]

Description
see https://esolangs.org/wiki/Cyclic_tag_system.

Cyclic tag system is a language with 3 instructions and a data queue:
;: pop a bit at front of the queue;
0: if the bit at the front of the queue is 1, push a 0 bit.
1: if the bit at the front of the queue is 1, push a 1 bit.
the program halts when the queue is empty.

Given a cyclic tag program with a initial data queue of a single 1, print the first 1000 bits removed in the process, or all bits removed if the program halts before removing 1000 bits.
Example input (if any)

011;10;101;
01;0000;000
11;1000000000;

Example output

1011101011100111010111010101011101101010111011001110101110011100111011010101110101101110101100111010110101110101010111010111011001110101100111001110101100111010101011101101011001110101100111011010101110110101011101011011101011001110101010110111010110011101010101110110011101011100111001110101101110101100111010101011101011101100111010110101100111010111001110101110101110011101011011101011001110110101101010111011010110101110011101100111010110101101011100111010111010101011011101011001110011101011001110101010111011001110101110011101011100111010101011101101011001110101010111011010101101110101100111010110011101011010111001110101110101110011101011011101011010110011100111011010101110101110110101100111010110101110011101010101110110101100111001110101110101010111011010101110110011101011101011100111010110111010110101110011101011011101011001110110101011101011011101011001110101101011100111010111010101011101100111010111001110011101011011101011001110110101011101011101100111001110101100111010101011101101
101000010000
1111000000000111000000000100000000011100000000010000000001000000000111000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000011100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001000000000100000000011100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000100000000011100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000100000000010000000001000000000111000000000100000000010000000001000000000100000000010000000001